40213028205504 has 672 divisors, whose sum is σ = 145791366389760. Its totient is φ = 10294266931200.

The previous prime is 40213028205461. The next prime is 40213028205541. The reversal of 40213028205504 is 40550282031204.

40213028205504 is a `hidden beast` number, since 4 + 0 + 21 + 3 + 0 + 2 + 82 + 0 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 963881157 + ... + 963922875.

It is an arithmetic number, because the mean of its divisors is an integer number (216951438080).

Almost surely, 2^{40213028205504} is an apocalyptic number.

40213028205504 is a gapful number since it is divisible by the number (44) 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 40213028205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72895683194880).

40213028205504 is an abundant number, since it is smaller than the sum of its proper divisors (105578338184256).

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

40213028205504 is a wasteful number, since it uses less digits than its factorization.

40213028205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42069 (or 42056 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40213028205504 in words is "forty trillion, two hundred thirteen billion, twenty-eight million, two hundred five thousand, five hundred four".