407201126400 has 864 divisors, whose sum is σ = 1579203924480. Its totient is φ = 103792803840.

The previous prime is 407201126393. The next prime is 407201126401. The reversal of 407201126400 is 4621102704.

407201126400 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 0 + 1 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407201126401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286156089 + ... + 286157511.

It is an arithmetic number, because the mean of its divisors is an integer number (1827782320).

Almost surely, 2^407201126400 is an apocalyptic number.

407201126400 is a gapful number since it is divisible by the number (40) 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 407201126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789601962240).

407201126400 is an abundant number, since it is smaller than the sum of its proper divisors (1172002798080).

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

407201126400 is a wasteful number, since it uses less digits than its factorization.

407201126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 407201126400 in words is "four hundred seven billion, two hundred one million, one hundred twenty-six thousand, four hundred".