1400687640 has 160 divisors (see below), whose sum is σ = 5135985360. Its totient is φ = 339552000.

The previous prime is 1400687623. The next prime is 1400687677. The reversal of 1400687640 is 467860041.

1400687640 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 8 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1400687595 and 1400687604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15990 + ... + 55290.

Almost surely, 2^1400687640 is an apocalyptic number.

1400687640 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 1400687640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567992680).

1400687640 is an abundant number, since it is smaller than the sum of its proper divisors (3735297720).

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

1400687640 is a wasteful number, since it uses less digits than its factorization.

1400687640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39335 (or 39322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1400687640 is about 37425.7617156952. The cubic root of 1400687640 is about 1118.8720681178.

The spelling of 1400687640 in words is "one billion, four hundred million, six hundred eighty-seven thousand, six hundred forty".