40142312012400 has 480 divisors, whose sum is σ = 144286723392000. Its totient is φ = 9471802798080.

The previous prime is 40142312012381. The next prime is 40142312012459. The reversal of 40142312012400 is 421021324104.

It is a super-2 number, since 2×40142312012400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62564421 + ... + 63202779.

It is an arithmetic number, because the mean of its divisors is an integer number (300597340400).

Almost surely, 2^{40142312012400} is an apocalyptic number.

40142312012400 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 40142312012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72143361696000).

40142312012400 is an abundant number, since it is smaller than the sum of its proper divisors (104144411379600).

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

40142312012400 is a wasteful number, since it uses less digits than its factorization.

40142312012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638561 (or 638550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40142312012400 its reverse (421021324104), we get a palindrome (40563333336504).

The spelling of 40142312012400 in words is "forty trillion, one hundred forty-two billion, three hundred twelve million, twelve thousand, four hundred".