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40463657472 = 293721015323
BaseRepresentation
bin100101101011110100…
…100110101000000000
310212102222111202222110
4211223310212220000
51130332144014342
630331100335320
72631504261600
oct455364465000
9125388452873
1040463657472
1116184752837
127a13244540
133a7b1517b4
141d5bdc2c00
1510bc571c9c
hex96bd26a00

40463657472 has 240 divisors, whose sum is σ = 126662687712. Its totient is φ = 11444428800.

The previous prime is 40463657471. The next prime is 40463657473. The reversal of 40463657472 is 27475636404.

It is an interprime number because it is at equal distance from previous prime (40463657471) and next prime (40463657473).

It is a super-2 number, since 2×404636574722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40463657471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7599003 + ... + 7604325.

Almost surely, 240463657472 is an apocalyptic number.

40463657472 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 40463657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63331343856).

40463657472 is an abundant number, since it is smaller than the sum of its proper divisors (86199030240).

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

40463657472 is a wasteful number, since it uses less digits than its factorization.

40463657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 40463657472 in words is "forty billion, four hundred sixty-three million, six hundred fifty-seven thousand, four hundred seventy-two".