4015123400400 has 240 divisors, whose sum is σ = 15041018217984. Its totient is φ = 896399562240.

The previous prime is 4015123400303. The next prime is 4015123400411. The reversal of 4015123400400 is 40043215104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4015123400400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5196834 + ... + 5919233.

Almost surely, 2^{4015123400400} is an apocalyptic number.

4015123400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4015123400400 is an abundant number, since it is smaller than the sum of its proper divisors (11025894817584).

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

4015123400400 is a wasteful number, since it uses less digits than its factorization.

4015123400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116138 (or 11116127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 4015123400400 its reverse (40043215104), we get a palindrome (4055166615504).

The spelling of 4015123400400 in words is "four trillion, fifteen billion, one hundred twenty-three million, four hundred thousand, four hundred".