401377891248 has 200 divisors, whose sum is σ = 1170167961600. Its totient is φ = 132820871040.

The previous prime is 401377891219. The next prime is 401377891301. The reversal of 401377891248 is 842198773104.

401377891248 is a `hidden beast` number, since 401 + 37 + 7 + 89 + 124 + 8 = 666.

It is a super-2 number, since 2×401377891248² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 401377891194 and 401377891203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148272711 + ... + 148275417.

It is an arithmetic number, because the mean of its divisors is an integer number (5850839808).

Almost surely, 2^401377891248 is an apocalyptic number.

401377891248 is a gapful number since it is divisible by the number (48) 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 401377891248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585083980800).

401377891248 is an abundant number, since it is smaller than the sum of its proper divisors (768790070352).

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

401377891248 is a wasteful number, since it uses less digits than its factorization.

401377891248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 401377891248 in words is "four hundred one billion, three hundred seventy-seven million, eight hundred ninety-one thousand, two hundred forty-eight".