1040345534400 has 252 divisors, whose sum is σ = 3428999661672. Its totient is φ = 276147179520.

The previous prime is 1040345534359. The next prime is 1040345534467. The reversal of 1040345534400 is 44355430401.

It is a happy number.

1040345534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251714734 + ... + 251718866.

Almost surely, 2^{1040345534400} is an apocalyptic number.

1040345534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040345534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714499830836).

1040345534400 is an abundant number, since it is smaller than the sum of its proper divisors (2388654127272).

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

1040345534400 is an equidigital number, since it uses as much as digits as its factorization.

1040345534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 1040345534400 in words is "one trillion, forty billion, three hundred forty-five million, five hundred thirty-four thousand, four hundred".