401325976166400 has 1344 divisors, whose sum is σ = 1493419652524800. Its totient is φ = 105648095232000.

The previous prime is 401325976166383. The next prime is 401325976166407. The reversal of 401325976166400 is 4661679523104.

It is a happy number.

401325976166400 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 5 + 9 + 76 + 166 + 400 = 666.

It is a super-2 number, since 2×401325976166400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (401325976166407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187447909330 + ... + 187447911470.

It is an arithmetic number, because the mean of its divisors is an integer number (1111175336700).

Almost surely, 2^{401325976166400} is an apocalyptic number.

401325976166400 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 401325976166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746709826262400).

401325976166400 is an abundant number, since it is smaller than the sum of its proper divisors (1092093676358400).

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

401325976166400 is a wasteful number, since it uses less digits than its factorization.

401325976166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 401325976166400 in words is "four hundred one trillion, three hundred twenty-five billion, nine hundred seventy-six million, one hundred sixty-six thousand, four hundred".