1026590451264 has 567 divisors, whose sum is σ = 3539677740417. Its totient is φ = 283633394688.

The previous prime is 1026590451233. The next prime is 1026590451287. The reversal of 1026590451264 is 4621540956201.

The square root of 1026590451264 is 1013208.

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

1026590451264 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 590 + 4 + 51 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 918607233600 + 107983217664 = 958440^2 + 328608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6298100847 + ... + 6298101009.

Almost surely, 2^{1026590451264} is an apocalyptic number.

1026590451264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1026590451264 is the 1013208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026590451264

1026590451264 is an abundant number, since it is smaller than the sum of its proper divisors (2513087289153).

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

1026590451264 is an equidigital number, since it uses as much as digits as its factorization.

1026590451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1026590451264 in words is "one trillion, twenty-six billion, five hundred ninety million, four hundred fifty-one thousand, two hundred sixty-four".