1071641073400 has 72 divisors (see below), whose sum is σ = 2646749648520. Its totient is φ = 403441323520.

The previous prime is 1071641073367. The next prime is 1071641073403. The reversal of 1071641073400 is 43701461701.

1071641073400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071641073400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071641073403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9212452 + ... + 9328051.

It is an arithmetic number, because the mean of its divisors is an integer number (36760411785).

Almost surely, 2^{1071641073400} is an apocalyptic number.

1071641073400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071641073400 is an abundant number, since it is smaller than the sum of its proper divisors (1575108575120).

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

1071641073400 is a wasteful number, since it uses less digits than its factorization.

1071641073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18540553 (or 18540527 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 1071641073400 in words is "one trillion, seventy-one billion, six hundred forty-one million, seventy-three thousand, four hundred".