1051079040 has 384 divisors, whose sum is σ = 4047058080. Its totient is φ = 249200640.

The previous prime is 1051079011. The next prime is 1051079063. The reversal of 1051079040 is 409701501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1051079040² = 2209534296654643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1051078995 and 1051079013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357924 + ... + 3358236.

Almost surely, 2^1051079040 is an apocalyptic number.

1051079040 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 1051079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023529040).

1051079040 is an abundant number, since it is smaller than the sum of its proper divisors (2995979040).

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

1051079040 is a wasteful number, since it uses less digits than its factorization.

1051079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1051079040 is about 32420.3491653005. The cubic root of 1051079040 is about 1016.7444066088.

The spelling of 1051079040 in words is "one billion, fifty-one million, seventy-nine thousand, forty".