1071740400 has 60 divisors (see below), whose sum is σ = 3433145592. Its totient is φ = 285797120.

The previous prime is 1071740399. The next prime is 1071740431. The reversal of 1071740400 is 40471701.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1071740400² = 2297254969984320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445359 + ... + 447758.

Almost surely, 2^1071740400 is an apocalyptic number.

1071740400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071740400 is an abundant number, since it is smaller than the sum of its proper divisors (2361405192).

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

1071740400 is a wasteful number, since it uses less digits than its factorization.

1071740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893138 (or 893127 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 1071740400 is about 32737.4464489825. The cubic root of 1071740400 is about 1023.3633687268.

The spelling of 1071740400 in words is "one billion, seventy-one million, seven hundred forty thousand, four hundred".