1007370042 has 64 divisors (see below), whose sum is σ = 2399742720. Its totient is φ = 275821056.

The previous prime is 1007369999. The next prime is 1007370053. The reversal of 1007370042 is 2400737001.

It is a junction number, because it is equal to n+sod(n) for n = 1007369994 and 1007370021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163848 + ... + 169884.

It is an arithmetic number, because the mean of its divisors is an integer number (37495980).

Almost surely, 2^1007370042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007370042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199871360).

1007370042 is an abundant number, since it is smaller than the sum of its proper divisors (1392372678).

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

1007370042 is a wasteful number, since it uses less digits than its factorization.

1007370042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1007370042 is about 31739.0932762737. The cubic root of 1007370042 is about 1002.4506699773.

The spelling of 1007370042 in words is "one billion, seven million, three hundred seventy thousand, forty-two".