381046067640 has 640 divisors, whose sum is σ = 1501948800000. Its totient is φ = 86608279296.

The previous prime is 381046067587. The next prime is 381046067713. The reversal of 381046067640 is 46760640183.

It is a happy number.

381046067640 is a `hidden beast` number, since 3 + 81 + 0 + 460 + 6 + 76 + 40 = 666.

It is a super-2 number, since 2×381046067640² (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 159 ways as a sum of consecutive naturals, for example, 221151819 + ... + 221153541.

It is an arithmetic number, because the mean of its divisors is an integer number (2346795000).

Almost surely, 2^381046067640 is an apocalyptic number.

381046067640 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 381046067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750974400000).

381046067640 is an abundant number, since it is smaller than the sum of its proper divisors (1120902732360).

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

381046067640 is a wasteful number, since it uses less digits than its factorization.

381046067640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 381046067640 in words is "three hundred eighty-one billion, forty-six million, sixty-seven thousand, six hundred forty".