42100024355400 has 96 divisors (see below), whose sum is σ = 142374627842400. Its totient is φ = 10206066508800.

The previous prime is 42100024355399. The next prime is 42100024355401. The reversal of 42100024355400 is 455342000124.

It is an interprime number because it is at equal distance from previous prime (42100024355399) and next prime (42100024355401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42100024355401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3189389185 + ... + 3189402384.

It is an arithmetic number, because the mean of its divisors is an integer number (1483069040025).

Almost surely, 2^{42100024355400} is an apocalyptic number.

42100024355400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100024355400 is an abundant number, since it is smaller than the sum of its proper divisors (100274603487000).

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

42100024355400 is a wasteful number, since it uses less digits than its factorization.

42100024355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378791599 (or 6378791590 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42100024355400 its reverse (455342000124), we get a palindrome (42555366355524).

It can be divided in two parts, 42100024 and 355400, that added together give a palindrome (42455424).

The spelling of 42100024355400 in words is "forty-two trillion, one hundred billion, twenty-four million, three hundred fifty-five thousand, four hundred".