126354611324400 has 480 divisors, whose sum is σ = 417251635852800. Its totient is φ = 32665171968000.

The previous prime is 126354611324369. The next prime is 126354611324467. The reversal of 126354611324400 is 4423116453621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7940330844 + ... + 7940346756.

It is an arithmetic number, because the mean of its divisors is an integer number (869274241360).

Almost surely, 2^{126354611324400} is an apocalyptic number.

126354611324400 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 126354611324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208625817926400).

126354611324400 is an abundant number, since it is smaller than the sum of its proper divisors (290897024528400).

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

126354611324400 is a wasteful number, since it uses less digits than its factorization.

126354611324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 126354611324400 in words is "one hundred twenty-six trillion, three hundred fifty-four billion, six hundred eleven million, three hundred twenty-four thousand, four hundred".