1051914240000 has 960 divisors, whose sum is σ = 4098721426800. Its totient is φ = 258342912000.

The previous prime is 1051914239993. The next prime is 1051914240061. The reversal of 1051914240000 is 424191501.

1051914240000 is a `hidden beast` number, since 1 + 0 + 519 + 142 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1051914240000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2396159781 + ... + 2396160219.

Almost surely, 2^{1051914240000} is an apocalyptic number.

1051914240000 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 1051914240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049360713400).

1051914240000 is an abundant number, since it is smaller than the sum of its proper divisors (3046807186800).

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

1051914240000 is an frugal number, since it uses more digits than its factorization.

1051914240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1051914240000 in words is "one trillion, fifty-one billion, nine hundred fourteen million, two hundred forty thousand".