1036435046400 has 1440 divisors, whose sum is σ = 4198003185600. Its totient is φ = 252255928320.

The previous prime is 1036435046377. The next prime is 1036435046473. The reversal of 1036435046400 is 46405346301.

1036435046400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 3 + 5 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11645337556 + ... + 11645337644.

It is an arithmetic number, because the mean of its divisors is an integer number (2915279990).

Almost surely, 2^{1036435046400} is an apocalyptic number.

1036435046400 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 1036435046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099001592800).

1036435046400 is an abundant number, since it is smaller than the sum of its proper divisors (3161568139200).

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

1036435046400 is an frugal number, since it uses more digits than its factorization.

1036435046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1036435046400 in words is "one trillion, thirty-six billion, four hundred thirty-five million, forty-six thousand, four hundred".