1036144698120 has 1536 divisors, whose sum is σ = 4429851033600. Its totient is φ = 210623846400.

The previous prime is 1036144698119. The next prime is 1036144698131. The reversal of 1036144698120 is 218964416301.

1036144698120 is a `hidden beast` number, since 1 + 0 + 3 + 61 + 4 + 469 + 8 + 120 = 666.

It is a super-3 number, since 3×1036144698120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3130346355 + ... + 3130346685.

It is an arithmetic number, because the mean of its divisors is an integer number (2884017600).

Almost surely, 2^{1036144698120} is an apocalyptic number.

1036144698120 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 1036144698120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214925516800).

1036144698120 is an abundant number, since it is smaller than the sum of its proper divisors (3393706335480).

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

1036144698120 is a wasteful number, since it uses less digits than its factorization.

1036144698120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1036144698120 in words is "one trillion, thirty-six billion, one hundred forty-four million, six hundred ninety-eight thousand, one hundred twenty".