1402729664 has 168 divisors, whose sum is σ = 3424684032. Its totient is φ = 567544320.

The previous prime is 1402729651. The next prime is 1402729729. The reversal of 1402729664 is 4669272041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4568999 + ... + 4569305.

It is an arithmetic number, because the mean of its divisors is an integer number (20385024).

Almost surely, 2^1402729664 is an apocalyptic number.

1402729664 is a gapful number since it is divisible by the number (14) 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 1402729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712342016).

1402729664 is an abundant number, since it is smaller than the sum of its proper divisors (2021954368).

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

1402729664 is a wasteful number, since it uses less digits than its factorization.

1402729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1402729664 is about 37453.0327743963. The cubic root of 1402729664 is about 1119.4155283801.

The spelling of 1402729664 in words is "one billion, four hundred two million, seven hundred twenty-nine thousand, six hundred sixty-four".