1401626880 has 324 divisors, whose sum is σ = 5163763332. Its totient is φ = 350945280.

The previous prime is 1401626873. The next prime is 1401626881. The reversal of 1401626880 is 886261041.

It can be written as a sum of positive squares in 6 ways, for example, as 24920064 + 1376706816 = 4992^2 + 37104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1401626881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3329070 + ... + 3329490.

Almost surely, 2^1401626880 is an apocalyptic number.

1401626880 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 1401626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581881666).

1401626880 is an abundant number, since it is smaller than the sum of its proper divisors (3762136452).

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

1401626880 is a wasteful number, since it uses less digits than its factorization.

1401626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1401626880 is about 37438.3076540594. The cubic root of 1401626880 is about 1119.1221011648.

The spelling of 1401626880 in words is "one billion, four hundred one million, six hundred twenty-six thousand, eight hundred eighty".