1011400992 has 288 divisors, whose sum is σ = 3612615552. Its totient is φ = 271724544.

The previous prime is 1011400991. The next prime is 1011401029. The reversal of 1011400992 is 2990041101.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1011400991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924798 + ... + 925890.

It is an arithmetic number, because the mean of its divisors is an integer number (12543804).

Almost surely, 2^1011400992 is an apocalyptic number.

1011400992 is a gapful number since it is divisible by the number (12) 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 1011400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806307776).

1011400992 is an abundant number, since it is smaller than the sum of its proper divisors (2601214560).

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

1011400992 is a wasteful number, since it uses less digits than its factorization.

1011400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1011400992 is about 31802.5312200145. The cubic root of 1011400992 is about 1003.7859789412.

The spelling of 1011400992 in words is "one billion, eleven million, four hundred thousand, nine hundred ninety-two".