1036041477120 has 1760 divisors, whose sum is σ = 4229384322240. Its totient is φ = 240789749760.

The previous prime is 1036041477109. The next prime is 1036041477137. The reversal of 1036041477120 is 217741406301.

1036041477120 is a `hidden beast` number, since 1 + 0 + 3 + 60 + 4 + 1 + 477 + 120 = 666.

It is a super-3 number, since 3×1036041477120³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 9504967626 + ... + 9504967734.

It is an arithmetic number, because the mean of its divisors is an integer number (2403059274).

Almost surely, 2^{1036041477120} is an apocalyptic number.

1036041477120 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 1036041477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114692161120).

1036041477120 is an abundant number, since it is smaller than the sum of its proper divisors (3193342845120).

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

1036041477120 is a wasteful number, since it uses less digits than its factorization.

1036041477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1036041477120 in words is "one trillion, thirty-six billion, forty-one million, four hundred seventy-seven thousand, one hundred twenty".