1006407619072 has 40 divisors (see below), whose sum is σ = 2030759104572. Its totient is φ = 498221568000.

The previous prime is 1006407619067. The next prime is 1006407619103. The reversal of 1006407619072 is 2709167046001.

It can be written as a sum of positive squares in 2 ways, for example, as 636140237056 + 370267382016 = 797584^2 + 608496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9679179 + ... + 9782602.

Almost surely, 2^{1006407619072} is an apocalyptic number.

It is an amenable number.

1006407619072 is an abundant number, since it is smaller than the sum of its proper divisors (1024351485500).

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

1006407619072 is an equidigital number, since it uses as much as digits as its factorization.

1006407619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19461900 (or 19461884 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 1006407619072 in words is "one trillion, six billion, four hundred seven million, six hundred nineteen thousand, seventy-two".