125614040400 has 180 divisors, whose sum is σ = 461557932732. Its totient is φ = 31526645760.

The previous prime is 125614040393. The next prime is 125614040407. The reversal of 125614040400 is 4040416521.

125614040400 is a `hidden beast` number, since 1 + 2 + 5 + 614 + 0 + 4 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125614040393) and next prime (125614040407).

It can be written as a sum of positive squares in 6 ways, for example, as 6853852944 + 118760187456 = 82788^2 + 344616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×125614040400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125614040407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 965059 + ... + 1087458.

Almost surely, 2^125614040400 is an apocalyptic number.

125614040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125614040400 is an abundant number, since it is smaller than the sum of its proper divisors (335943892332).

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

125614040400 is a wasteful number, since it uses less digits than its factorization.

125614040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052558 (or 2052544 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 125614040400 its reverse (4040416521), we get a palindrome (129654456921).

The spelling of 125614040400 in words is "one hundred twenty-five billion, six hundred fourteen million, forty thousand, four hundred".