42111014490000 has 675 divisors, whose sum is σ = 149472448750053. Its totient is φ = 11063996928000.

The previous prime is 42111014489989. The next prime is 42111014490001. The reversal of 42111014490000 is 9441011124.

The square root of 42111014490000 is 6489300.

It is a perfect power (a square), and thus also a powerful number.

42111014490000 is a `hidden beast` number, since 4 + 211 + 1 + 0 + 1 + 449 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 34125552357264 + 7985462132736 = 5841708^2 + 2825856^2 .

It is not an unprimeable number, because it can be changed into a prime (42111014490001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 188838629889 + ... + 188838630111.

Almost surely, 2^{42111014490000} is an apocalyptic number.

42111014490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42111014490000 is the 6489300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111014490000

42111014490000 is an abundant number, since it is smaller than the sum of its proper divisors (107361434260053).

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

42111014490000 is an frugal number, since it uses more digits than its factorization.

42111014490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 42111014490000 in words is "forty-two trillion, one hundred eleven billion, fourteen million, four hundred ninety thousand".