126814371840 has 720 divisors, whose sum is σ = 481762977696. Its totient is φ = 30670848000.

The previous prime is 126814371811. The next prime is 126814371911. The reversal of 126814371840 is 48173418621.

126814371840 is a `hidden beast` number, since 1 + 268 + 14 + 371 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968048575 + ... + 968048705.

Almost surely, 2^126814371840 is an apocalyptic number.

126814371840 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 126814371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240881488848).

126814371840 is an abundant number, since it is smaller than the sum of its proper divisors (354948605856).

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

126814371840 is a wasteful number, since it uses less digits than its factorization.

126814371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 126814371840 in words is "one hundred twenty-six billion, eight hundred fourteen million, three hundred seventy-one thousand, eight hundred forty".