49190400000 has 936 divisors, whose sum is σ = 206297608608. Its totient is φ = 11059200000.

The previous prime is 49190399983. The next prime is 49190400043. The reversal of 49190400000 is 409194.

49190400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806399970 + ... + 806400030.

It is an arithmetic number, because the mean of its divisors is an integer number (220403428).

Almost surely, 2^49190400000 is an apocalyptic number.

49190400000 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 49190400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103148804304).

49190400000 is an abundant number, since it is smaller than the sum of its proper divisors (157107208608).

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

49190400000 is an frugal number, since it uses more digits than its factorization.

49190400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 49190400000 its reverse (409194), we get a palindrome (49190809194).

The spelling of 49190400000 in words is "forty-nine billion, one hundred ninety million, four hundred thousand".