384274573457040 has 160 divisors (see below), whose sum is σ = 1512699908271360. Its totient is φ = 87834188215296.

The previous prime is 384274573456981. The next prime is 384274573457053. The reversal of 384274573457040 is 40754375472483.

384274573457040 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 7 + 4 + 57 + 3 + 4 + 570 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12707477389 + ... + 12707507628.

It is an arithmetic number, because the mean of its divisors is an integer number (9454374426696).

Almost surely, 2^{384274573457040} is an apocalyptic number.

384274573457040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384274573457040 is an abundant number, since it is smaller than the sum of its proper divisors (1128425334814320).

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

384274573457040 is a wasteful number, since it uses less digits than its factorization.

384274573457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25414985046 (or 25414985034 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 63.

The spelling of 384274573457040 in words is "three hundred eighty-four trillion, two hundred seventy-four billion, five hundred seventy-three million, four hundred fifty-seven thousand, forty".