40241432400004 has 192 divisors, whose sum is σ = 81666555505920. Its totient is φ = 17158901760000.

The previous prime is 40241432399957. The next prime is 40241432400047. The reversal of 40241432400004 is 40000423414204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30931154154 + ... + 30931155454.

It is an arithmetic number, because the mean of its divisors is an integer number (425346643260).

Almost surely, 2^{40241432400004} is an apocalyptic number.

40241432400004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40241432400004 is an abundant number, since it is smaller than the sum of its proper divisors (41425123105916).

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

40241432400004 is a wasteful number, since it uses less digits than its factorization.

40241432400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40241432400004 its reverse (40000423414204), we get a palindrome (80241855814208).

The spelling of 40241432400004 in words is "forty trillion, two hundred forty-one billion, four hundred thirty-two million, four hundred thousand, four".