1401926400 has 864 divisors, whose sum is σ = 6285708800. Its totient is φ = 298598400.

The previous prime is 1401926399. The next prime is 1401926417. The reversal of 1401926400 is 46291041.

1401926400 is a `hidden beast` number, since 1 + 4 + 0 + 19 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22982370 + ... + 22982430.

Almost surely, 2^1401926400 is an apocalyptic number.

1401926400 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 1401926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142854400).

1401926400 is an abundant number, since it is smaller than the sum of its proper divisors (4883782400).

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

1401926400 is a wasteful number, since it uses less digits than its factorization.

1401926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

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

The square root of 1401926400 is about 37442.3076211924. The cubic root of 1401926400 is about 1119.2018122449.

The spelling of 1401926400 in words is "one billion, four hundred one million, nine hundred twenty-six thousand, four hundred".