1071010674400 has 36 divisors (see below), whose sum is σ = 2614604810832. Its totient is φ = 428404269440.

The previous prime is 1071010674341. The next prime is 1071010674421. The reversal of 1071010674400 is 44760101701.

It is a super-2 number, since 2×1071010674400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669380872 + ... + 669382471.

It is an arithmetic number, because the mean of its divisors is an integer number (72627911412).

Almost surely, 2^{1071010674400} is an apocalyptic number.

1071010674400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071010674400 is an abundant number, since it is smaller than the sum of its proper divisors (1543594136432).

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

1071010674400 is a wasteful number, since it uses less digits than its factorization.

1071010674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338763363 (or 1338763350 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 1071010674400 in words is "one trillion, seventy-one billion, ten million, six hundred seventy-four thousand, four hundred".