1930041054432 has 576 divisors, whose sum is σ = 6173187552000. Its totient is φ = 585874695168.

The previous prime is 1930041054397. The next prime is 1930041054457. The reversal of 1930041054432 is 2344501400391.

1930041054432 is a `hidden beast` number, since 19 + 30 + 0 + 41 + 0 + 544 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3428136583 + ... + 3428137145.

It is an arithmetic number, because the mean of its divisors is an integer number (10717339500).

Almost surely, 2^{1930041054432} is an apocalyptic number.

1930041054432 is a gapful number since it is divisible by the number (12) 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 1930041054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086593776000).

1930041054432 is an abundant number, since it is smaller than the sum of its proper divisors (4243146497568).

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

1930041054432 is a wasteful number, since it uses less digits than its factorization.

1930041054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1930041054432 in words is "one trillion, nine hundred thirty billion, forty-one million, fifty-four thousand, four hundred thirty-two".