49145628407040 has 3456 divisors, whose sum is σ = 211053887815680. Its totient is φ = 10785595392000.

The previous prime is 49145628407039. The next prime is 49145628407041. The reversal of 49145628407040 is 4070482654194.

49145628407040 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 5 + 628 + 4 + 0 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49145628407039) and next prime (49145628407041).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49145628407041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158024528485 + ... + 158024528795.

It is an arithmetic number, because the mean of its divisors is an integer number (61068833280).

Almost surely, 2^{49145628407040} is an apocalyptic number.

49145628407040 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 49145628407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105526943907840).

49145628407040 is an abundant number, since it is smaller than the sum of its proper divisors (161908259408640).

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

49145628407040 is a wasteful number, since it uses less digits than its factorization.

49145628407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 49145628407040 in words is "forty-nine trillion, one hundred forty-five billion, six hundred twenty-eight million, four hundred seven thousand, forty".