1401004080 has 640 divisors, whose sum is σ = 5904384000. Its totient is φ = 304819200.

The previous prime is 1401004063. The next prime is 1401004097. The reversal of 1401004080 is 804001041.

It is an interprime number because it is at equal distance from previous prime (1401004063) and next prime (1401004097).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22967250 + ... + 22967310.

It is an arithmetic number, because the mean of its divisors is an integer number (9225600).

Almost surely, 2^1401004080 is an apocalyptic number.

1401004080 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 1401004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952192000).

1401004080 is an abundant number, since it is smaller than the sum of its proper divisors (4503379920).

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

1401004080 is a wasteful number, since it uses less digits than its factorization.

1401004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1401004080 is about 37429.9890462180. The cubic root of 1401004080 is about 1118.9563194070.

The spelling of 1401004080 in words is "one billion, four hundred one million, four thousand, eighty".