40221455040 has 448 divisors, whose sum is σ = 154208073600. Its totient is φ = 9809952768.

The previous prime is 40221455017. The next prime is 40221455063. The reversal of 40221455040 is 4055412204.

40221455040 is a `hidden beast` number, since 40 + 22 + 14 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40221455017) and next prime (40221455063).

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

It is a junction number, because it is equal to n+sod(n) for n = 40221454995 and 40221455013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12690576 + ... + 12693744.

It is an arithmetic number, because the mean of its divisors is an integer number (344214450).

Almost surely, 2^40221455040 is an apocalyptic number.

40221455040 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 40221455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77104036800).

40221455040 is an abundant number, since it is smaller than the sum of its proper divisors (113986618560).

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

40221455040 is a wasteful number, since it uses less digits than its factorization.

40221455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40221455040 its reverse (4055412204), we get a palindrome (44276867244).

The spelling of 40221455040 in words is "forty billion, two hundred twenty-one million, four hundred fifty-five thousand, forty".