40006551072 has 96 divisors (see below), whose sum is σ = 109635216768. Its totient is φ = 12749654016.

The previous prime is 40006551071. The next prime is 40006551073. The reversal of 40006551072 is 27015560004.

It is an interprime number because it is at equal distance from previous prime (40006551071) and next prime (40006551073).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40006551071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8107518 + ... + 8112450.

It is an arithmetic number, because the mean of its divisors is an integer number (1142033508).

Almost surely, 2^40006551072 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 40006551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817608384).

40006551072 is an abundant number, since it is smaller than the sum of its proper divisors (69628665696).

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

40006551072 is a wasteful number, since it uses less digits than its factorization.

40006551072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 40006551072 in words is "forty billion, six million, five hundred fifty-one thousand, seventy-two".