1401920640 has 384 divisors, whose sum is σ = 5212771200. Its totient is φ = 345931776.

The previous prime is 1401920629. The next prime is 1401920647. The reversal of 1401920640 is 460291041.

1401920640 is a `hidden beast` number, since 1 + 4 + 0 + 19 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401920647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10085691 + ... + 10085829.

It is an arithmetic number, because the mean of its divisors is an integer number (13574925).

Almost surely, 2^1401920640 is an apocalyptic number.

1401920640 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 1401920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606385600).

1401920640 is an abundant number, since it is smaller than the sum of its proper divisors (3810850560).

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

1401920640 is a wasteful number, since it uses less digits than its factorization.

1401920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

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

The square root of 1401920640 is about 37442.2307027773. The cubic root of 1401920640 is about 1119.2002794466.

The spelling of 1401920640 in words is "one billion, four hundred one million, nine hundred twenty thousand, six hundred forty".