1383579671040 has 640 divisors, whose sum is σ = 5623712202240. Its totient is φ = 315850752000.

The previous prime is 1383579671029. The next prime is 1383579671057. The reversal of 1383579671040 is 401769753831.

1383579671040 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 579 + 67 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1383579671040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581090650 + ... + 581093030.

It is an arithmetic number, because the mean of its divisors is an integer number (8787050316).

Almost surely, 2^{1383579671040} is an apocalyptic number.

1383579671040 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 1383579671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811856101120).

1383579671040 is an abundant number, since it is smaller than the sum of its proper divisors (4240132531200).

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

1383579671040 is a wasteful number, since it uses less digits than its factorization.

1383579671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1383579671040 in words is "one trillion, three hundred eighty-three billion, five hundred seventy-nine million, six hundred seventy-one thousand, forty".