49635575092440 has 384 divisors, whose sum is σ = 178279856202240. Its totient is φ = 11912661454848.

The previous prime is 49635575092429. The next prime is 49635575092451. The reversal of 49635575092440 is 4429057553694.

It is a happy number.

49635575092440 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 5 + 57 + 50 + 92 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (49635575092429) and next prime (49635575092451).

It is a super-2 number, since 2×49635575092440² (a number of 28 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 95 ways as a sum of consecutive naturals, for example, 535263919 + ... + 535356641.

It is an arithmetic number, because the mean of its divisors is an integer number (464270458860).

Almost surely, 2^{49635575092440} is an apocalyptic number.

49635575092440 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 49635575092440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89139928101120).

49635575092440 is an abundant number, since it is smaller than the sum of its proper divisors (128644281109800).

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

49635575092440 is a wasteful number, since it uses less digits than its factorization.

49635575092440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96583 (or 96576 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 49635575092440 in words is "forty-nine trillion, six hundred thirty-five billion, five hundred seventy-five million, ninety-two thousand, four hundred forty".