1007499474240 has 1344 divisors, whose sum is σ = 4015686647808. Its totient is φ = 212967014400.

The previous prime is 1007499474229. The next prime is 1007499474313. The reversal of 1007499474240 is 424749947001.

It is a happy number.

1007499474240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3830796349 + ... + 3830796611.

Almost surely, 2^{1007499474240} is an apocalyptic number.

1007499474240 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 1007499474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007843323904).

1007499474240 is an abundant number, since it is smaller than the sum of its proper divisors (3008187173568).

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

1007499474240 is a wasteful number, since it uses less digits than its factorization.

1007499474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 1007499474240 in words is "one trillion, seven billion, four hundred ninety-nine million, four hundred seventy-four thousand, two hundred forty".