1007434040 has 64 divisors (see below), whose sum is σ = 2370124800. Its totient is φ = 384664192.

The previous prime is 1007434037. The next prime is 1007434067. The reversal of 1007434040 is 404347001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1007433997 and 1007434015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660719 + ... + 662241.

It is an arithmetic number, because the mean of its divisors is an integer number (37033200).

Almost surely, 2^1007434040 is an apocalyptic number.

1007434040 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 1007434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185062400).

1007434040 is an abundant number, since it is smaller than the sum of its proper divisors (1362690760).

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

1007434040 is a wasteful number, since it uses less digits than its factorization.

1007434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 1007434040 is about 31740.1014491132. The cubic root of 1007434040 is about 1002.4718980189.

The spelling of 1007434040 in words is "one billion, seven million, four hundred thirty-four thousand, forty".