1011925440 has 224 divisors, whose sum is σ = 3595786560. Its totient is φ = 267890688.

The previous prime is 1011925399. The next prime is 1011925471. The reversal of 1011925440 is 445291101.

1011925440 is a `hidden beast` number, since 1 + 0 + 119 + 2 + 544 + 0 = 666.

It is a super-2 number, since 2×1011925440² = 2047986192238387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494382 + ... + 1495058.

Almost surely, 2^1011925440 is an apocalyptic number.

1011925440 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 1011925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797893280).

1011925440 is an abundant number, since it is smaller than the sum of its proper divisors (2583861120).

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

1011925440 is a wasteful number, since it uses less digits than its factorization.

1011925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

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

The square root of 1011925440 is about 31810.7755328285. The cubic root of 1011925440 is about 1003.9594487413.

The spelling of 1011925440 in words is "one billion, eleven million, nine hundred twenty-five thousand, four hundred forty".