1010412195840 has 832 divisors, whose sum is σ = 3853298027520. Its totient is φ = 253402546176.

The previous prime is 1010412195827. The next prime is 1010412195887. The reversal of 1010412195840 is 485912140101.

1010412195840 is a `hidden beast` number, since 1 + 0 + 10 + 41 + 21 + 9 + 584 + 0 = 666.

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 = 1010412195795 and 1010412195804.

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, 761425257 + ... + 761426583.

Almost surely, 2^{1010412195840} is an apocalyptic number.

1010412195840 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 1010412195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926649013760).

1010412195840 is an abundant number, since it is smaller than the sum of its proper divisors (2842885831680).

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

1010412195840 is an frugal number, since it uses more digits than its factorization.

1010412195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1010412195840 in words is "one trillion, ten billion, four hundred twelve million, one hundred ninety-five thousand, eight hundred forty".