1036311845400 has 672 divisors, whose sum is σ = 3973483805760. Its totient is φ = 249643192320.

The previous prime is 1036311845369. The next prime is 1036311845449. The reversal of 1036311845400 is 45481136301.

1036311845400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 31 + 1 + 84 + 540 + 0 = 666.

It is a super-3 number, since 3×1036311845400³ (a number of 37 digits) contains 333 as substring.

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 167 ways as a sum of consecutive naturals, for example, 89077984 + ... + 89089616.

It is an arithmetic number, because the mean of its divisors is an integer number (5912922330).

Almost surely, 2^{1036311845400} is an apocalyptic number.

1036311845400 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 1036311845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986741902880).

1036311845400 is an abundant number, since it is smaller than the sum of its proper divisors (2937171960360).

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

1036311845400 is a wasteful number, since it uses less digits than its factorization.

1036311845400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1036311845400 in words is "one trillion, thirty-six billion, three hundred eleven million, eight hundred forty-five thousand, four hundred".