42012011034240 has 256 divisors, whose sum is σ = 152697503185920. Its totient is φ = 9733099290624.

The previous prime is 42012011034211. The next prime is 42012011034277. The reversal of 42012011034240 is 4243011021024.

It is a super-2 number, since 2×42012011034240² (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 self number, because there is not a number n which added to its sum of digits gives 42012011034240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49080784 + ... + 49929423.

It is an arithmetic number, because the mean of its divisors is an integer number (596474621820).

Almost surely, 2^{42012011034240} is an apocalyptic number.

42012011034240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42012011034240 is an abundant number, since it is smaller than the sum of its proper divisors (110685492151680).

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

42012011034240 is a wasteful number, since it uses less digits than its factorization.

42012011034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99010259 (or 99010247 counting only the distinct ones).

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

Adding to 42012011034240 its reverse (4243011021024), we get a palindrome (46255022055264).

The spelling of 42012011034240 in words is "forty-two trillion, twelve billion, eleven million, thirty-four thousand, two hundred forty".