1639401120 has 480 divisors, whose sum is σ = 7007793408. Its totient is φ = 352346112.

The previous prime is 1639401097. The next prime is 1639401133. The reversal of 1639401120 is 211049361.

1639401120 is a `hidden beast` number, since 1 + 639 + 4 + 0 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1541709 + ... + 1542771.

Almost surely, 2^1639401120 is an apocalyptic number.

1639401120 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 1639401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503896704).

1639401120 is an abundant number, since it is smaller than the sum of its proper divisors (5368392288).

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

1639401120 is a wasteful number, since it uses less digits than its factorization.

1639401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1639401120 is about 40489.5186437182. The cubic root of 1639401120 is about 1179.1301451034.

The spelling of 1639401120 in words is "one billion, six hundred thirty-nine million, four hundred one thousand, one hundred twenty".