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40037109840 = 24335713347587
BaseRepresentation
bin100101010010011001…
…011101000001010000
310211100020212220122000
4211102121131001100
51123444000003330
630220502114000
72615104550520
oct452231350120
9124306786560
1040037109840
1115a859a5232
12791441b900
133a10976750
141d1b4ab680
151094db7560
hex95265d050

40037109840 has 640 divisors, whose sum is σ = 170509086720. Its totient is φ = 8408696832.

The previous prime is 40037109839. The next prime is 40037109869. The reversal of 40037109840 is 4890173004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40037109795 and 40037109804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68206027 + ... + 68206613.

It is an arithmetic number, because the mean of its divisors is an integer number (266420448).

Almost surely, 240037109840 is an apocalyptic number.

40037109840 is a gapful number since it is divisible by the number (40) 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 40037109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85254543360).

40037109840 is an abundant number, since it is smaller than the sum of its proper divisors (130471976880).

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

40037109840 is a wasteful number, since it uses less digits than its factorization.

40037109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40037109840 in words is "forty billion, thirty-seven million, one hundred nine thousand, eight hundred forty".