49432140800 has 396 divisors, whose sum is σ = 144016422984. Its totient is φ = 16773120000.

The previous prime is 49432140787. The next prime is 49432140869. The reversal of 49432140800 is 804123494.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196940675 + ... + 196940925.

Almost surely, 2^49432140800 is an apocalyptic number.

49432140800 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 49432140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72008211492).

49432140800 is an abundant number, since it is smaller than the sum of its proper divisors (94584282184).

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

49432140800 is a wasteful number, since it uses less digits than its factorization.

49432140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 49432140800 in words is "forty-nine billion, four hundred thirty-two million, one hundred forty thousand, eight hundred".