40653954432 has 768 divisors, whose sum is σ = 152694097920. Its totient is φ = 10480803840.

The previous prime is 40653954389. The next prime is 40653954449. The reversal of 40653954432 is 23445935604.

40653954432 is a `hidden beast` number, since 40 + 6 + 5 + 39 + 544 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150014457 + ... + 150014727.

It is an arithmetic number, because the mean of its divisors is an integer number (198820440).

Almost surely, 2^40653954432 is an apocalyptic number.

40653954432 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 40653954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76347048960).

40653954432 is an abundant number, since it is smaller than the sum of its proper divisors (112040143488).

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

40653954432 is a wasteful number, since it uses less digits than its factorization.

40653954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 40653954432 in words is "forty billion, six hundred fifty-three million, nine hundred fifty-four thousand, four hundred thirty-two".