42102412040 has 64 divisors (see below), whose sum is σ = 102069298800. Its totient is φ = 15537595392.

The previous prime is 42102412031. The next prime is 42102412057. The reversal of 42102412040 is 4021420124.

It can be written as a sum of positive squares in 8 ways, for example, as 14674415044 + 27427996996 = 121138^2 + 165614^2 .

It is a super-2 number, since 2×42102412040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056314 + ... + 1095446.

Almost surely, 2^42102412040 is an apocalyptic number.

42102412040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102412040 is an abundant number, since it is smaller than the sum of its proper divisors (59966886760).

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

42102412040 is a wasteful number, since it uses less digits than its factorization.

42102412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41226 (or 41222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42102412040 its reverse (4021420124), we get a palindrome (46123832164).

The spelling of 42102412040 in words is "forty-two billion, one hundred two million, four hundred twelve thousand, forty".