1009740506040 has 256 divisors, whose sum is σ = 4049085312000. Its totient is φ = 218650544640.

The previous prime is 1009740506023. The next prime is 1009740506063. The reversal of 1009740506040 is 406050479001.

1009740506040 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 40 + 5 + 0 + 604 + 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 = 1009740505986 and 1009740506004.

It is a congruent number.

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, 3371191 + ... + 3658470.

It is an arithmetic number, because the mean of its divisors is an integer number (15816739500).

Almost surely, 2^{1009740506040} is an apocalyptic number.

1009740506040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009740506040 is an abundant number, since it is smaller than the sum of its proper divisors (3039344805960).

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

1009740506040 is a wasteful number, since it uses less digits than its factorization.

1009740506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029707 (or 7029697 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1009740506040 in words is "one trillion, nine billion, seven hundred forty million, five hundred six thousand, forty".