1008011197440 has 1584 divisors, whose sum is σ = 4155234842304. Its totient is φ = 223802818560.

The previous prime is 1008011197433. The next prime is 1008011197477. The reversal of 1008011197440 is 447911108001.

It is a happy number.

1008011197440 is a `hidden beast` number, since 10 + 0 + 8 + 0 + 11 + 197 + 440 = 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 = 1008011197395 and 1008011197404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9786516429 + ... + 9786516531.

Almost surely, 2^{1008011197440} is an apocalyptic number.

1008011197440 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 1008011197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077617421152).

1008011197440 is an abundant number, since it is smaller than the sum of its proper divisors (3147223644864).

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

1008011197440 is a wasteful number, since it uses less digits than its factorization.

1008011197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1008011197440 in words is "one trillion, eight billion, eleven million, one hundred ninety-seven thousand, four hundred forty".