49400384267520 has 3456 divisors, whose sum is σ = 218883978915840. Its totient is φ = 10437672960000.

The previous prime is 49400384267473. The next prime is 49400384267557. The reversal of 49400384267520 is 2576248300494.

It is a happy number.

49400384267520 is a `hidden beast` number, since 4 + 9 + 40 + 0 + 38 + 42 + 6 + 7 + 520 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149245873755 + ... + 149245874085.

It is an arithmetic number, because the mean of its divisors is an integer number (63334484640).

Almost surely, 2^{49400384267520} is an apocalyptic number.

49400384267520 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 49400384267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109441989457920).

49400384267520 is an abundant number, since it is smaller than the sum of its proper divisors (169483594648320).

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

49400384267520 is a wasteful number, since it uses less digits than its factorization.

49400384267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 49400384267520 in words is "forty-nine trillion, four hundred billion, three hundred eighty-four million, two hundred sixty-seven thousand, five hundred twenty".