40567214016 has 224 divisors, whose sum is σ = 136672320000. Its totient is φ = 11558744064.

The previous prime is 40567213961. The next prime is 40567214033. The reversal of 40567214016 is 61041276504.

40567214016 is a `hidden beast` number, since 40 + 567 + 2 + 1 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 4579960 + ... + 4588808.

Almost surely, 2^40567214016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40567214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68336160000).

40567214016 is an abundant number, since it is smaller than the sum of its proper divisors (96105105984).

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

40567214016 is a wasteful number, since it uses less digits than its factorization.

40567214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40567214016 in words is "forty billion, five hundred sixty-seven million, two hundred fourteen thousand, sixteen".