42312100541400 has 144 divisors (see below), whose sum is σ = 142114249251000. Its totient is φ = 11281947479040.

The previous prime is 42312100541393. The next prime is 42312100541533. The reversal of 42312100541400 is 414500121324.

42312100541400 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 210 + 0 + 5 + 41 + 400 = 666.

It is a super-2 number, since 2×42312100541400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14599987 + ... + 17256413.

Almost surely, 2^{42312100541400} is an apocalyptic number.

42312100541400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42312100541400 is an abundant number, since it is smaller than the sum of its proper divisors (99802148709600).

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

42312100541400 is a wasteful number, since it uses less digits than its factorization.

42312100541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665298 (or 2665286 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 42312100541400 its reverse (414500121324), we get a palindrome (42726600662724).

The spelling of 42312100541400 in words is "forty-two trillion, three hundred twelve billion, one hundred million, five hundred forty-one thousand, four hundred".