1007420207400 has 144 divisors (see below), whose sum is σ = 3582267846300. Its totient is φ = 252842711040.

The previous prime is 1007420207393. The next prime is 1007420207407. The reversal of 1007420207400 is 47020247001.

It is a happy number.

1007420207400 is a `hidden beast` number, since 10 + 0 + 7 + 42 + 0 + 207 + 400 = 666.

1007420207400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007420207393) and next prime (1007420207407).

It can be written as a sum of positive squares in 6 ways, for example, as 215494637796 + 791925569604 = 464214^2 + 889902^2 .

It is not an unprimeable number, because it can be changed into a prime (1007420207407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16430515 + ... + 16491714.

Almost surely, 2^{1007420207400} is an apocalyptic number.

1007420207400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007420207400 is an abundant number, since it is smaller than the sum of its proper divisors (2574847638900).

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

1007420207400 is a wasteful number, since it uses less digits than its factorization.

1007420207400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32922268 (or 32922256 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 1007420207400 in words is "one trillion, seven billion, four hundred twenty million, two hundred seven thousand, four hundred".