49406377789440 has 1152 divisors, whose sum is σ = 202342197657600. Its totient is φ = 10910546657280.

The previous prime is 49406377789411. The next prime is 49406377789481. The reversal of 49406377789440 is 4498777360494.

49406377789440 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 6 + 37 + 77 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14779052409 + ... + 14779055751.

It is an arithmetic number, because the mean of its divisors is an integer number (175644268800).

Almost surely, 2^{49406377789440} is an apocalyptic number.

49406377789440 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 49406377789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101171098828800).

49406377789440 is an abundant number, since it is smaller than the sum of its proper divisors (152935819868160).

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

49406377789440 is a wasteful number, since it uses less digits than its factorization.

49406377789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 49406377789440 in words is "forty-nine trillion, four hundred six billion, three hundred seventy-seven million, seven hundred eighty-nine thousand, four hundred forty".