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40707397632 = 2113113773223
BaseRepresentation
bin100101111010010110…
…011001100000000000
310220001222011001121210
4211322112121200000
51131332043211012
630411204450120
72640524112366
oct457226314000
9126058131553
1040707397632
111629a2a0390
127a809a9940
133ab97b1b45
141d8250d636
1510d3b6b23c
hex97a599800

40707397632 has 384 divisors, whose sum is σ = 123810785280. Its totient is φ = 11784683520.

The previous prime is 40707397603. The next prime is 40707397649. The reversal of 40707397632 is 23679370704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182544273 + ... + 182544495.

It is an arithmetic number, because the mean of its divisors is an integer number (322423920).

Almost surely, 240707397632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40707397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61905392640).

40707397632 is an abundant number, since it is smaller than the sum of its proper divisors (83103387648).

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

40707397632 is a wasteful number, since it uses less digits than its factorization.

40707397632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 40707397632 in words is "forty billion, seven hundred seven million, three hundred ninety-seven thousand, six hundred thirty-two".