1402267680 has 384 divisors, whose sum is σ = 5591255040. Its totient is φ = 324910080.

The previous prime is 1402267667. The next prime is 1402267681. The reversal of 1402267680 is 867622041.

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

It is not an unprimeable number, because it can be changed into a prime (1402267681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092319 + ... + 1093601.

It is an arithmetic number, because the mean of its divisors is an integer number (14560560).

Almost surely, 2^1402267680 is an apocalyptic number.

1402267680 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 1402267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795627520).

1402267680 is an abundant number, since it is smaller than the sum of its proper divisors (4188987360).

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

1402267680 is a wasteful number, since it uses less digits than its factorization.

1402267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1327 counting only the distinct ones).

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

The square root of 1402267680 is about 37446.8647552769. The cubic root of 1402267680 is about 1119.2926230522.

The spelling of 1402267680 in words is "one billion, four hundred two million, two hundred sixty-seven thousand, six hundred eighty".