1020401413200 has 180 divisors, whose sum is σ = 3813467011900. Its totient is φ = 251175720960.

The previous prime is 1020401413193. The next prime is 1020401413271. The reversal of 1020401413200 is 23141040201.

1020401413200 is a `hidden beast` number, since 1 + 0 + 20 + 401 + 41 + 3 + 200 = 666.

1020401413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 971942976 + 1019429470224 = 31176^2 + 1009668^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10854925 + ... + 10948524.

Almost surely, 2^{1020401413200} is an apocalyptic number.

1020401413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020401413200 is an abundant number, since it is smaller than the sum of its proper divisors (2793065598700).

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

1020401413200 is a wasteful number, since it uses less digits than its factorization.

1020401413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21803486 (or 21803472 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020401413200 its reverse (23141040201), we get a palindrome (1043542453401).

The spelling of 1020401413200 in words is "one trillion, twenty billion, four hundred one million, four hundred thirteen thousand, two hundred".