1401225376320 has 1120 divisors, whose sum is σ = 6293693767680. Its totient is φ = 287445749760.

The previous prime is 1401225376319. The next prime is 1401225376427. The reversal of 1401225376320 is 236735221041.

1401225376320 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 2 + 5 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157666917 + ... + 157675803.

Almost surely, 2^{1401225376320} is an apocalyptic number.

1401225376320 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 1401225376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146846883840).

1401225376320 is an abundant number, since it is smaller than the sum of its proper divisors (4892468391360).

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

1401225376320 is a wasteful number, since it uses less digits than its factorization.

1401225376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1401225376320 in words is "one trillion, four hundred one billion, two hundred twenty-five million, three hundred seventy-six thousand, three hundred twenty".