40233424431200 has 288 divisors, whose sum is σ = 131875601921280. Its totient is φ = 11575650355200.

The previous prime is 40233424431197. The next prime is 40233424431247. The reversal of 40233424431200 is 213442433204.

It is a super-2 number, since 2×40233424431200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24319970 + ... + 25921569.

It is an arithmetic number, because the mean of its divisors is an integer number (457901395560).

Almost surely, 2^{40233424431200} is an apocalyptic number.

40233424431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40233424431200 is an abundant number, since it is smaller than the sum of its proper divisors (91642177490080).

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

40233424431200 is a wasteful number, since it uses less digits than its factorization.

40233424431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50241590 (or 50241577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 40233424431200 its reverse (213442433204), we get a palindrome (40446866864404).

The spelling of 40233424431200 in words is "forty trillion, two hundred thirty-three billion, four hundred twenty-four million, four hundred thirty-one thousand, two hundred".