1056248519040 has 512 divisors, whose sum is σ = 4394890483200. Its totient is φ = 236362752000.

The previous prime is 1056248519033. The next prime is 1056248519057. The reversal of 1056248519040 is 409158426501.

1056248519040 is a `hidden beast` number, since 1 + 0 + 5 + 624 + 8 + 5 + 19 + 0 + 4 + 0 = 666.

1056248519040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1056248519040² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2257315 + ... + 2684765.

It is an arithmetic number, because the mean of its divisors is an integer number (8583770475).

Almost surely, 2^{1056248519040} is an apocalyptic number.

1056248519040 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 1056248519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197445241600).

1056248519040 is an abundant number, since it is smaller than the sum of its proper divisors (3338641964160).

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

1056248519040 is a wasteful number, since it uses less digits than its factorization.

1056248519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427503 (or 427485 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1056248519040 in words is "one trillion, fifty-six billion, two hundred forty-eight million, five hundred nineteen thousand, forty".