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40336657452 = 2233713171271901
BaseRepresentation
bin100101100100010000…
…001000110000101100
310212010010112111201000
4211210100020300230
51130102141014302
630310322320300
72625402634260
oct454420106054
9125103474630
1040336657452
1116119a9a843
1279987b9090
133a5aa46660
141d491a40a0
1510b133731c
hex964408c2c

40336657452 has 384 divisors, whose sum is σ = 137426042880. Its totient is φ = 9928396800.

The previous prime is 40336657397. The next prime is 40336657453. The reversal of 40336657452 is 25475663304.

40336657452 is a `hidden beast` number, since 40 + 3 + 36 + 6 + 574 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40336657398 and 40336657407.

It is not an unprimeable number, because it can be changed into a prime (40336657453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21217702 + ... + 21219602.

It is an arithmetic number, because the mean of its divisors is an integer number (357880320).

Almost surely, 240336657452 is an apocalyptic number.

40336657452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40336657452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68713021440).

40336657452 is an abundant number, since it is smaller than the sum of its proper divisors (97089385428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40336657452 is a wasteful number, since it uses less digits than its factorization.

40336657452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 40336657452 in words is "forty billion, three hundred thirty-six million, six hundred fifty-seven thousand, four hundred fifty-two".