49070544746400 has 360 divisors, whose sum is σ = 178975748217420. Its totient is φ = 13083649597440.

The previous prime is 49070544746381. The next prime is 49070544746527. The reversal of 49070544746400 is 464744507094.

It is a happy number.

49070544746400 is a `hidden beast` number, since 4 + 90 + 7 + 0 + 54 + 47 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3071059973136 + 45999484773264 = 1752444^2 + 6782292^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 500012536 + ... + 500110664.

Almost surely, 2^{49070544746400} is an apocalyptic number.

49070544746400 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 49070544746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89487874108710).

49070544746400 is an abundant number, since it is smaller than the sum of its proper divisors (129905203471020).

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

49070544746400 is a wasteful number, since it uses less digits than its factorization.

49070544746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105878 (or 105856 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 49070544746400 in words is "forty-nine trillion, seventy billion, five hundred forty-four million, seven hundred forty-six thousand, four hundred".