10036556375040 has 1056 divisors, whose sum is σ = 39792433131360. Its totient is φ = 2317130661888.

The previous prime is 10036556375039. The next prime is 10036556375081. The reversal of 10036556375040 is 4057365563001.

10036556375040 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 5 + 5 + 637 + 5 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6734398685184 + 3302157689856 = 2595072^2 + 1817184^2 .

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 95 ways as a sum of consecutive naturals, for example, 3228225006 + ... + 3228228114.

Almost surely, 2^{10036556375040} is an apocalyptic number.

10036556375040 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 10036556375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896216565680).

10036556375040 is an abundant number, since it is smaller than the sum of its proper divisors (29755876756320).

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

10036556375040 is a wasteful number, since it uses less digits than its factorization.

10036556375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 10036556375040 in words is "ten trillion, thirty-six billion, five hundred fifty-six million, three hundred seventy-five thousand, forty".