1046137440 has 96 divisors (see below), whose sum is σ = 3301191936. Its totient is φ = 278474240.

The previous prime is 1046137349. The next prime is 1046137453. The reversal of 1046137440 is 447316401.

1046137440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1046137398 and 1046137407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326245 + ... + 329435.

It is an arithmetic number, because the mean of its divisors is an integer number (34387416).

Almost surely, 2^1046137440 is an apocalyptic number.

1046137440 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 1046137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650595968).

1046137440 is an abundant number, since it is smaller than the sum of its proper divisors (2255054496).

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

1046137440 is a wasteful number, since it uses less digits than its factorization.

1046137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1046137440 is about 32344.0479841346. The cubic root of 1046137440 is about 1015.1485105480.

The spelling of 1046137440 in words is "one billion, forty-six million, one hundred thirty-seven thousand, four hundred forty".