1035050542400 has 336 divisors, whose sum is σ = 2953468108800. Its totient is φ = 349680015360.

The previous prime is 1035050542307. The next prime is 1035050542411. The reversal of 1035050542400 is 42450505301.

It is a super-3 number, since 3×1035050542400³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636170387 + ... + 636172013.

Almost surely, 2^{1035050542400} is an apocalyptic number.

1035050542400 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 1035050542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476734054400).

1035050542400 is an abundant number, since it is smaller than the sum of its proper divisors (1918417566400).

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

1035050542400 is a wasteful number, since it uses less digits than its factorization.

1035050542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 1035050542400 in words is "one trillion, thirty-five billion, fifty million, five hundred forty-two thousand, four hundred".