387401117040 has 240 divisors, whose sum is σ = 1541952642048. Its totient is φ = 88548795648.

The previous prime is 387401117039. The next prime is 387401117071. The reversal of 387401117040 is 40711104783.

387401117040 is a `hidden beast` number, since 3 + 87 + 401 + 1 + 170 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 387401116986 and 387401117004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287352 + ... + 1559511.

Almost surely, 2^387401117040 is an apocalyptic number.

387401117040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387401117040 is an abundant number, since it is smaller than the sum of its proper divisors (1154551525008).

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

387401117040 is a wasteful number, since it uses less digits than its factorization.

387401117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846898 (or 2846880 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 387401117040 in words is "three hundred eighty-seven billion, four hundred one million, one hundred seventeen thousand, forty".