40732035840 has 1440 divisors, whose sum is σ = 170950348800. Its totient is φ = 9196830720.

The previous prime is 40732035823. The next prime is 40732035893. The reversal of 40732035840 is 4853023704.

It is a happy number.

40732035840 is a `hidden beast` number, since 4 + 0 + 73 + 2 + 0 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 40732035795 and 40732035804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1313936625 + ... + 1313936655.

It is an arithmetic number, because the mean of its divisors is an integer number (118715520).

Almost surely, 2^40732035840 is an apocalyptic number.

40732035840 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 40732035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85475174400).

40732035840 is an abundant number, since it is smaller than the sum of its proper divisors (130218312960).

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

40732035840 is a wasteful number, since it uses less digits than its factorization.

40732035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40732035840 in words is "forty billion, seven hundred thirty-two million, thirty-five thousand, eight hundred forty".