40421227429440 has 4032 divisors, whose sum is σ = 179904133334016. Its totient is φ = 8200617984000.

The previous prime is 40421227429423. The next prime is 40421227429459. The reversal of 40421227429440 is 4492472212404.

40421227429440 is a `hidden beast` number, since 4 + 0 + 4 + 212 + 2 + 7 + 429 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 762664668454 + ... + 762664668506.

It is an arithmetic number, because the mean of its divisors is an integer number (44619080688).

Almost surely, 2^{40421227429440} is an apocalyptic number.

40421227429440 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 40421227429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89952066667008).

40421227429440 is an abundant number, since it is smaller than the sum of its proper divisors (139482905904576).

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

40421227429440 is a wasteful number, since it uses less digits than its factorization.

40421227429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 206 counting only the distinct ones).

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

The spelling of 40421227429440 in words is "forty trillion, four hundred twenty-one billion, two hundred twenty-seven million, four hundred twenty-nine thousand, four hundred forty".