401113778889600 has 3840 divisors, whose sum is σ = 1752174158676480. Its totient is φ = 88851417661440.

The previous prime is 401113778889581. The next prime is 401113778889617. The reversal of 401113778889600 is 6988877311104.

401113778889600 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 13 + 7 + 7 + 8 + 8 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3549679459144 + ... + 3549679459256.

It is an arithmetic number, because the mean of its divisors is an integer number (456295353822).

Almost surely, 2^{401113778889600} is an apocalyptic number.

401113778889600 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 401113778889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876087079338240).

401113778889600 is an abundant number, since it is smaller than the sum of its proper divisors (1351060379786880).

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

401113778889600 is an frugal number, since it uses more digits than its factorization.

401113778889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 401113778889600 in words is "four hundred one trillion, one hundred thirteen billion, seven hundred seventy-eight million, eight hundred eighty-nine thousand, six hundred".