1009518279840 has 960 divisors, whose sum is σ = 4128327979776. Its totient is φ = 227567812608.

The previous prime is 1009518279799. The next prime is 1009518279851. The reversal of 1009518279840 is 489728159001.

It is a happy number.

1009518279840 is a `hidden beast` number, since 10 + 0 + 9 + 518 + 2 + 79 + 8 + 40 = 666.

It is a super-2 number, since 2×1009518279840² (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 159 ways as a sum of consecutive naturals, for example, 3445454734 + ... + 3445455026.

Almost surely, 2^{1009518279840} is an apocalyptic number.

1009518279840 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 1009518279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064163989888).

1009518279840 is an abundant number, since it is smaller than the sum of its proper divisors (3118809699936).

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

1009518279840 is a wasteful number, since it uses less digits than its factorization.

1009518279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1009518279840 in words is "one trillion, nine billion, five hundred eighteen million, two hundred seventy-nine thousand, eight hundred forty".