1401732864 has 504 divisors, whose sum is σ = 5093729760. Its totient is φ = 376233984.

The previous prime is 1401732853. The next prime is 1401732869. The reversal of 1401732864 is 4682371041.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×1401732864³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401732869) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37884654 + ... + 37884690.

Almost surely, 2^1401732864 is an apocalyptic number.

1401732864 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 1401732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546864880).

1401732864 is an abundant number, since it is smaller than the sum of its proper divisors (3691996896).

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

1401732864 is an frugal number, since it uses more digits than its factorization.

1401732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

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

The square root of 1401732864 is about 37439.7230758989. The cubic root of 1401732864 is about 1119.1503079220.

The spelling of 1401732864 in words is "one billion, four hundred one million, seven hundred thirty-two thousand, eight hundred sixty-four".