1010742400 has 48 divisors (see below), whose sum is σ = 2496857490. Its totient is φ = 404295680.

The previous prime is 1010742389. The next prime is 1010742407. The reversal of 1010742400 is 42470101.

It can be written as a sum of positive squares in 3 ways, for example, as 821624896 + 189117504 = 28664^2 + 13752^2 .

It is not an unprimeable number, because it can be changed into a prime (1010742407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154729 + ... + 161128.

Almost surely, 2^1010742400 is an apocalyptic number.

1010742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010742400 is an abundant number, since it is smaller than the sum of its proper divisors (1486115090).

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

1010742400 is an equidigital number, since it uses as much as digits as its factorization.

1010742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315881 (or 315864 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 1010742400 is about 31792.1751379172. The cubic root of 1010742400 is about 1003.5680538501.

The spelling of 1010742400 in words is "one billion, ten million, seven hundred forty-two thousand, four hundred".