121479513661440 has 2688 divisors, whose sum is σ = 523482617548800. Its totient is φ = 26676064419840.

The previous prime is 121479513661427. The next prime is 121479513661469. The reversal of 121479513661440 is 44166315974121.

121479513661440 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 7 + 9 + 5 + 13 + 6 + 614 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 47845415691 + ... + 47845418229.

It is an arithmetic number, because the mean of its divisors is an integer number (194747997600).

Almost surely, 2^{121479513661440} is an apocalyptic number.

121479513661440 is a gapful number since it is divisible by the number (10) 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 121479513661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261741308774400).

121479513661440 is an abundant number, since it is smaller than the sum of its proper divisors (402003103887360).

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

121479513661440 is a wasteful number, since it uses less digits than its factorization.

121479513661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 121479513661440 in words is "one hundred twenty-one trillion, four hundred seventy-nine billion, five hundred thirteen million, six hundred sixty-one thousand, four hundred forty".