40226287046400 has 6912 divisors, whose sum is σ = 203875951104000. Its totient is φ = 7678517575680.

The previous prime is 40226287046359. The next prime is 40226287046401. The reversal of 40226287046400 is 464078262204.

40226287046400 is a `hidden beast` number, since 40 + 22 + 62 + 8 + 70 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40226287046401) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 484654060759 + ... + 484654060841.

It is an arithmetic number, because the mean of its divisors is an integer number (29495942000).

Almost surely, 2^{40226287046400} is an apocalyptic number.

40226287046400 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 40226287046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101937975552000).

40226287046400 is an abundant number, since it is smaller than the sum of its proper divisors (163649664057600).

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

40226287046400 is a wasteful number, since it uses less digits than its factorization.

40226287046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 40226287046400 in words is "forty trillion, two hundred twenty-six billion, two hundred eighty-seven million, forty-six thousand, four hundred".