1401692040 has 432 divisors, whose sum is σ = 5553276300. Its totient is φ = 317447424.

The previous prime is 1401691999. The next prime is 1401692069. The reversal of 1401692040 is 402961041.

It can be written as a sum of positive squares in 2 ways, for example, as 1400406084 + 1285956 = 37422^2 + 1134^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1401691995 and 1401692013.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12859506 + ... + 12859614.

Almost surely, 2^1401692040 is an apocalyptic number.

1401692040 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 1401692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776638150).

1401692040 is an abundant number, since it is smaller than the sum of its proper divisors (4151584260).

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

1401692040 is an equidigital number, since it uses as much as digits as its factorization.

1401692040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1401692040 is about 37439.1778755891. The cubic root of 1401692040 is about 1119.1394431234.

The spelling of 1401692040 in words is "one billion, four hundred one million, six hundred ninety-two thousand, forty".