49304092400640 has 2112 divisors, whose sum is σ = 227791758297600. Its totient is φ = 9994508697600.

The previous prime is 49304092400617. The next prime is 49304092400663. The reversal of 49304092400640 is 4600429040394.

49304092400640 is a `hidden beast` number, since 49 + 304 + 0 + 9 + 240 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49304092400617) and next prime (49304092400663).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3054957691 + ... + 3054973829.

Almost surely, 2^{49304092400640} is an apocalyptic number.

49304092400640 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 49304092400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113895879148800).

49304092400640 is an abundant number, since it is smaller than the sum of its proper divisors (178487665896960).

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

49304092400640 is a wasteful number, since it uses less digits than its factorization.

49304092400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 49304092400640 in words is "forty-nine trillion, three hundred four billion, ninety-two million, four hundred thousand, six hundred forty".