401351209200 has 600 divisors, whose sum is σ = 1492043372160. Its totient is φ = 103215513600.

The previous prime is 401351209151. The next prime is 401351209229. The reversal of 401351209200 is 2902153104.

401351209200 is a `hidden beast` number, since 401 + 3 + 51 + 2 + 0 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×401351209200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 410799112 + ... + 410800088.

Almost surely, 2^401351209200 is an apocalyptic number.

401351209200 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 401351209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746021686080).

401351209200 is an abundant number, since it is smaller than the sum of its proper divisors (1090692162960).

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

401351209200 is a wasteful number, since it uses less digits than its factorization.

401351209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 401351209200 in words is "four hundred one billion, three hundred fifty-one million, two hundred nine thousand, two hundred".