1011070470400 has 81 divisors (see below), whose sum is σ = 2502756515371. Its totient is φ = 404396011520.

The previous prime is 1011070470383. The next prime is 1011070470427. The reversal of 1011070470400 is 40740701101.

It is a happy number.

The square root of 1011070470400 is 1005520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 280086509824 + 730983960576 = 529232^2 + 854976^2 .

It is a super-2 number, since 2×1011070470400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80435316 + ... + 80447884.

Almost surely, 2^{1011070470400} is an apocalyptic number.

1011070470400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011070470400 is the 1005520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011070470400

1011070470400 is an abundant number, since it is smaller than the sum of its proper divisors (1491686044971).

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

1011070470400 is an frugal number, since it uses more digits than its factorization.

1011070470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25164 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Multiplying 1011070470400 by its sum of digits (25), we get a square (25276761760000 = 5027600²).

1011070470400 divided by its sum of digits (25) gives a square (40442818816 = 201104²).

Multiplying 1011070470400 by its product of nonzero digits (784), we get a square (792679248793600 = 28154560²).

The spelling of 1011070470400 in words is "one trillion, eleven billion, seventy million, four hundred seventy thousand, four hundred".