1040400816 has 160 divisors (see below), whose sum is σ = 3502775808. Its totient is φ = 258232320.

The previous prime is 1040400797. The next prime is 1040400847. The reversal of 1040400816 is 6180040401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67251 + ... + 81261.

Almost surely, 2^1040400816 is an apocalyptic number.

1040400816 is a gapful number since it is divisible by the number (16) 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 1040400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751387904).

1040400816 is an abundant number, since it is smaller than the sum of its proper divisors (2462374992).

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

1040400816 is a wasteful number, since it uses less digits than its factorization.

1040400816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1040400816 is about 32255.2447828256. The cubic root of 1040400816 is about 1013.2895443143.

It can be divided in two parts, 1040 and 400816, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 1040400816 in words is "one billion, forty million, four hundred thousand, eight hundred sixteen".