42100403776116 has 96 divisors (see below), whose sum is σ = 117184456316928. Its totient is φ = 11502213148800.

The previous prime is 42100403776097. The next prime is 42100403776129. The reversal of 42100403776116 is 61167730400124.

It is a super-2 number, since 2×42100403776116² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3076851 + ... + 9678213.

It is an arithmetic number, because the mean of its divisors is an integer number (1220671419968).

Almost surely, 2^{42100403776116} is an apocalyptic number.

42100403776116 is a gapful number since it is divisible by the number (46) 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 42100403776116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58592228158464).

42100403776116 is an abundant number, since it is smaller than the sum of its proper divisors (75084052540812).

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

42100403776116 is a wasteful number, since it uses less digits than its factorization.

42100403776116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604701 (or 6604699 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 42100403776116 in words is "forty-two trillion, one hundred billion, four hundred three million, seven hundred seventy-six thousand, one hundred sixteen".