10360809779040 has 2304 divisors, whose sum is σ = 44439371698176. Its totient is φ = 2230530048000.

The previous prime is 10360809779029. The next prime is 10360809779057. The reversal of 10360809779040 is 4097790806301.

It is a happy number.

10360809779040 is a `hidden beast` number, since 10 + 360 + 80 + 9 + 77 + 90 + 40 = 666.

It is a super-3 number, since 3×10360809779040³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 62040777037 + ... + 62040777203.

It is an arithmetic number, because the mean of its divisors is an integer number (19287921744).

Almost surely, 2^{10360809779040} is an apocalyptic number.

10360809779040 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 10360809779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219685849088).

10360809779040 is an abundant number, since it is smaller than the sum of its proper divisors (34078561919136).

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

10360809779040 is a wasteful number, since it uses less digits than its factorization.

10360809779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10360809779040 in words is "ten trillion, three hundred sixty billion, eight hundred nine million, seven hundred seventy-nine thousand, forty".