1045939910400 has 1080 divisors, whose sum is σ = 4821773303424. Its totient is φ = 217329868800.

The previous prime is 1045939910381. The next prime is 1045939910419. The reversal of 1045939910400 is 40199395401.

1045939910400 is a `hidden beast` number, since 1 + 0 + 4 + 593 + 9 + 9 + 10 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1045939910381) and next prime (1045939910419).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39903699 + ... + 39929901.

Almost surely, 2^{1045939910400} is an apocalyptic number.

1045939910400 is a gapful number since it is divisible by the number (10) 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 1045939910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410886651712).

1045939910400 is an abundant number, since it is smaller than the sum of its proper divisors (3775833393024).

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

1045939910400 is a wasteful number, since it uses less digits than its factorization.

1045939910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26259 (or 26231 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1045939910400 in words is "one trillion, forty-five billion, nine hundred thirty-nine million, nine hundred ten thousand, four hundred".