124133440189440 has 1408 divisors, whose sum is σ = 453913667665920. Its totient is φ = 28681489612800.

The previous prime is 124133440189373. The next prime is 124133440189487. The reversal of 124133440189440 is 44981044331421.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×124133440189440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 124133440189440.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 133620494896 + ... + 133620495824.

It is an arithmetic number, because the mean of its divisors is an integer number (322381866240).

Almost surely, 2^{124133440189440} is an apocalyptic number.

124133440189440 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 124133440189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226956833832960).

124133440189440 is an abundant number, since it is smaller than the sum of its proper divisors (329780227476480).

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

124133440189440 is a wasteful number, since it uses less digits than its factorization.

124133440189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 124133440189440 in words is "one hundred twenty-four trillion, one hundred thirty-three billion, four hundred forty million, one hundred eighty-nine thousand, four hundred forty".