1021457977344 has 312 divisors, whose sum is σ = 3549512840640. Its totient is φ = 276483538944.

The previous prime is 1021457977289. The next prime is 1021457977367. The reversal of 1021457977344 is 4437797541201.

1021457977344 is a `hidden beast` number, since 1 + 0 + 21 + 4 + 579 + 7 + 7 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4798744 + ... + 5007080.

It is an arithmetic number, because the mean of its divisors is an integer number (11376643720).

Almost surely, 2^{1021457977344} is an apocalyptic number.

1021457977344 is a gapful number since it is divisible by the number (14) 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 1021457977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774756420320).

1021457977344 is an abundant number, since it is smaller than the sum of its proper divisors (2528054863296).

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

1021457977344 is a wasteful number, since it uses less digits than its factorization.

1021457977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208393 (or 208368 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1021457977344 in words is "one trillion, twenty-one billion, four hundred fifty-seven million, nine hundred seventy-seven thousand, three hundred forty-four".