401341545013200 has 480 divisors, whose sum is σ = 1406645452929024. Its totient is φ = 97008000000000.

The previous prime is 401341545013153. The next prime is 401341545013243. The reversal of 401341545013200 is 2310545143104.

It is a super-2 number, since 2×401341545013200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12444297075 + ... + 12444329325.

Almost surely, 2^{401341545013200} is an apocalyptic number.

401341545013200 is a gapful number since it is divisible by the number (40) 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 401341545013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703322726464512).

401341545013200 is an abundant number, since it is smaller than the sum of its proper divisors (1005303907915824).

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

401341545013200 is a wasteful number, since it uses less digits than its factorization.

401341545013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035 (or 35024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 401341545013200 in words is "four hundred one trillion, three hundred forty-one billion, five hundred forty-five million, thirteen thousand, two hundred".