125651414240 has 288 divisors, whose sum is σ = 335983152960. Its totient is φ = 44346368000.

The previous prime is 125651414209. The next prime is 125651414243. The reversal of 125651414240 is 42414156521.

It is a self number, because there is not a number n which added to its sum of digits gives 125651414240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125651414243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246859106 + ... + 246859614.

It is an arithmetic number, because the mean of its divisors is an integer number (1166608170).

Almost surely, 2^125651414240 is an apocalyptic number.

125651414240 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 125651414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167991576480).

125651414240 is an abundant number, since it is smaller than the sum of its proper divisors (210331738720).

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

125651414240 is a wasteful number, since it uses less digits than its factorization.

125651414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 125651414240 in words is "one hundred twenty-five billion, six hundred fifty-one million, four hundred fourteen thousand, two hundred forty".