1009277542440 has 256 divisors, whose sum is σ = 3512678400000. Its totient is φ = 257281415424.

The previous prime is 1009277542411. The next prime is 1009277542487. The reversal of 1009277542440 is 442457729001.

1009277542440 is a `hidden beast` number, since 1 + 0 + 0 + 92 + 77 + 54 + 2 + 440 = 666.

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 63 ways as a sum of consecutive naturals, for example, 43682011 + ... + 43705109.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400000).

Almost surely, 2^{1009277542440} is an apocalyptic number.

1009277542440 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 1009277542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756339200000).

1009277542440 is an abundant number, since it is smaller than the sum of its proper divisors (2503400857560).

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

1009277542440 is a wasteful number, since it uses less digits than its factorization.

1009277542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24901 (or 24891 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1009277542440 in words is "one trillion, nine billion, two hundred seventy-seven million, five hundred forty-two thousand, four hundred forty".