1009918463904 has 360 divisors, whose sum is σ = 3465645831648. Its totient is φ = 287664410880.

The previous prime is 1009918463899. The next prime is 1009918463909. The reversal of 1009918463904 is 4093648199001.

It is a happy number.

1009918463904 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 91 + 8 + 463 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1009918463899) and next prime (1009918463909).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1009918463909) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42027637 + ... + 42051659.

Almost surely, 2^{1009918463904} is an apocalyptic number.

1009918463904 is a gapful number since it is divisible by the number (14) 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 1009918463904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732822915824).

1009918463904 is an abundant number, since it is smaller than the sum of its proper divisors (2455727367744).

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

1009918463904 is a wasteful number, since it uses less digits than its factorization.

1009918463904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24390 (or 24366 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1009918463904 in words is "one trillion, nine billion, nine hundred eighteen million, four hundred sixty-three thousand, nine hundred four".