380405456640 has 864 divisors, whose sum is σ = 1530669643776. Its totient is φ = 86302064640.

The previous prime is 380405456611. The next prime is 380405456657. The reversal of 380405456640 is 46654504083.

380405456640 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 0 + 545 + 66 + 40 = 666.

It is a super-2 number, since 2×380405456640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 136982932 + ... + 136985708.

It is an arithmetic number, because the mean of its divisors is an integer number (1771608384).

Almost surely, 2^380405456640 is an apocalyptic number.

380405456640 is a gapful number since it is divisible by the number (30) 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 380405456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765334821888).

380405456640 is an abundant number, since it is smaller than the sum of its proper divisors (1150264187136).

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

380405456640 is a wasteful number, since it uses less digits than its factorization.

380405456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 380405456640 in words is "three hundred eighty billion, four hundred five million, four hundred fifty-six thousand, six hundred forty".