1034235440400 has 120 divisors (see below), whose sum is σ = 3402541570624. Its totient is φ = 268342156800.

The previous prime is 1034235440369. The next prime is 1034235440423. The reversal of 1034235440400 is 40445324301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 11602396 + ... + 11691195.

Almost surely, 2^{1034235440400} is an apocalyptic number.

1034235440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034235440400 is an abundant number, since it is smaller than the sum of its proper divisors (2368306130224).

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

1034235440400 is a wasteful number, since it uses less digits than its factorization.

1034235440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23293649 (or 23293638 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 1034235440400 in words is "one trillion, thirty-four billion, two hundred thirty-five million, four hundred forty thousand, four hundred".