42061219520460 has 384 divisors, whose sum is σ = 138417260728320. Its totient is φ = 9344880230400.

The previous prime is 42061219520413. The next prime is 42061219520477. The reversal of 42061219520460 is 6402591216024.

It is a super-2 number, since 2×42061219520460² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5201086537 + ... + 5201094623.

It is an arithmetic number, because the mean of its divisors is an integer number (360461616480).

Almost surely, 2^{42061219520460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42061219520460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69208630364160).

42061219520460 is an abundant number, since it is smaller than the sum of its proper divisors (96356041207860).

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

42061219520460 is a wasteful number, since it uses less digits than its factorization.

42061219520460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 42061219520460 in words is "forty-two trillion, sixty-one billion, two hundred nineteen million, five hundred twenty thousand, four hundred sixty".