1401318903600 has 1440 divisors, whose sum is σ = 6290542522368. Its totient is φ = 280350720000.

The previous prime is 1401318903581. The next prime is 1401318903613. The reversal of 1401318903600 is 63098131041.

1401318903600 is a `hidden beast` number, since 1 + 40 + 1 + 3 + 1 + 8 + 9 + 0 + 3 + 600 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2689671340 + ... + 2689671860.

Almost surely, 2^{1401318903600} is an apocalyptic number.

1401318903600 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 1401318903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145271261184).

1401318903600 is an abundant number, since it is smaller than the sum of its proper divisors (4889223618768).

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

1401318903600 is a wasteful number, since it uses less digits than its factorization.

1401318903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1401318903600 in words is "one trillion, four hundred one billion, three hundred eighteen million, nine hundred three thousand, six hundred".