385733177303040 has 336 divisors, whose sum is σ = 1528144845952608. Its totient is φ = 88167582793728.

The previous prime is 385733177303027. The next prime is 385733177303069. The reversal of 385733177303040 is 40303771337583.

385733177303040 is a `hidden beast` number, since 3 + 8 + 573 + 3 + 1 + 7 + 7 + 30 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72160107 + ... + 77321066.

Almost surely, 2^{385733177303040} is an apocalyptic number.

385733177303040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385733177303040 is an abundant number, since it is smaller than the sum of its proper divisors (1142411668649568).

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

385733177303040 is a wasteful number, since it uses less digits than its factorization.

385733177303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149481217 (or 149481190 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 385733177303040 in words is "three hundred eighty-five trillion, seven hundred thirty-three billion, one hundred seventy-seven million, three hundred three thousand, forty".