1381017914640 has 960 divisors, whose sum is σ = 6055064451072. Its totient is φ = 273737318400.

The previous prime is 1381017914621. The next prime is 1381017914651. The reversal of 1381017914640 is 464197101831.

1381017914640 is a `hidden beast` number, since 1 + 3 + 8 + 10 + 179 + 1 + 464 + 0 = 666.

It is a super-2 number, since 2×1381017914640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1014707560 + ... + 1014708920.

Almost surely, 2^{1381017914640} is an apocalyptic number.

1381017914640 is a gapful number since it is divisible by the number (10) 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 1381017914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027532225536).

1381017914640 is an abundant number, since it is smaller than the sum of its proper divisors (4674046536432).

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

1381017914640 is a wasteful number, since it uses less digits than its factorization.

1381017914640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1381017914640 in words is "one trillion, three hundred eighty-one billion, seventeen million, nine hundred fourteen thousand, six hundred forty".