274829786042040 has 1024 divisors, whose sum is σ = 980146137600000. Its totient is φ = 68301095436288.

The previous prime is 274829786042039. The next prime is 274829786042051. The reversal of 274829786042040 is 40240687928472.

274829786042040 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 2 + 97 + 86 + 0 + 420 + 40 = 666.

It is a super-2 number, since 2×274829786042040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 420872566354 + ... + 420872567006.

It is an arithmetic number, because the mean of its divisors is an integer number (957173962500).

Almost surely, 2^{274829786042040} is an apocalyptic number.

274829786042040 is a gapful number since it is divisible by the number (20) 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 274829786042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490073068800000).

274829786042040 is an abundant number, since it is smaller than the sum of its proper divisors (705316351557960).

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

274829786042040 is a wasteful number, since it uses less digits than its factorization.

274829786042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 274829786042040 in words is "two hundred seventy-four trillion, eight hundred twenty-nine billion, seven hundred eighty-six million, forty-two thousand, forty".