49731683040000 has 3240 divisors, whose sum is σ = 213915176931456. Its totient is φ = 10992844800000.

The previous prime is 49731683039971. The next prime is 49731683040019. The reversal of 49731683040000 is 4038613794.

49731683040000 is a `hidden beast` number, since 497 + 31 + 68 + 30 + 40 + 0 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 700446239965 + ... + 700446240035.

Almost surely, 2^{49731683040000} is an apocalyptic number.

49731683040000 is a gapful number since it is divisible by the number (40) 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 49731683040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106957588465728).

49731683040000 is an abundant number, since it is smaller than the sum of its proper divisors (164183493891456).

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

49731683040000 is a wasteful number, since it uses less digits than its factorization.

49731683040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 49731683040000 in words is "forty-nine trillion, seven hundred thirty-one billion, six hundred eighty-three million, forty thousand".