3861410192640 has 3456 divisors, whose sum is σ = 19323794165760. Its totient is φ = 705090355200.

The previous prime is 3861410192573. The next prime is 3861410192693. The reversal of 3861410192640 is 462910141683.

3861410192640 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 410 + 192 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 18300522135 + ... + 18300522345.

Almost surely, 2^{3861410192640} is an apocalyptic number.

3861410192640 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 3861410192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661897082880).

3861410192640 is an abundant number, since it is smaller than the sum of its proper divisors (15462383973120).

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

3861410192640 is a wasteful number, since it uses less digits than its factorization.

3861410192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3861410192640 in words is "three trillion, eight hundred sixty-one billion, four hundred ten million, one hundred ninety-two thousand, six hundred forty".