1009178234640 has 240 divisors, whose sum is σ = 3404308235328. Its totient is φ = 267913350144.

The previous prime is 1009178234633. The next prime is 1009178234681. The reversal of 1009178234640 is 464328719001.

1009178234640 is a `hidden beast` number, since 10 + 0 + 9 + 178 + 2 + 3 + 464 + 0 = 666.

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

It is a super-2 number, since 2×1009178234640² (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 47 ways as a sum of consecutive naturals, for example, 223911267 + ... + 223915773.

Almost surely, 2^{1009178234640} is an apocalyptic number.

1009178234640 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 1009178234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702154117664).

1009178234640 is an abundant number, since it is smaller than the sum of its proper divisors (2395130000688).

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

1009178234640 is a wasteful number, since it uses less digits than its factorization.

1009178234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1009178234640 in words is "one trillion, nine billion, one hundred seventy-eight million, two hundred thirty-four thousand, six hundred forty".