1401896160 has 672 divisors, whose sum is σ = 6068405952. Its totient is φ = 298598400.

The previous prime is 1401896137. The next prime is 1401896183. The reversal of 1401896160 is 616981041.

It is a happy number.

1401896160 is a `hidden beast` number, since 1 + 401 + 8 + 96 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (1401896137) and next prime (1401896183).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13880110 + ... + 13880210.

It is an arithmetic number, because the mean of its divisors is an integer number (9030366).

Almost surely, 2^1401896160 is an apocalyptic number.

1401896160 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 1401896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034202976).

1401896160 is an abundant number, since it is smaller than the sum of its proper divisors (4666509792).

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

1401896160 is a wasteful number, since it uses less digits than its factorization.

1401896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1401896160 is about 37441.9037977505. The cubic root of 1401896160 is about 1119.1937650069.

The spelling of 1401896160 in words is "one billion, four hundred one million, eight hundred ninety-six thousand, one hundred sixty".