40072303440 has 480 divisors, whose sum is σ = 155658537216. Its totient is φ = 9150382080.

The previous prime is 40072303429. The next prime is 40072303459. The reversal of 40072303440 is 4430327004.

40072303440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11295747 + ... + 11299293.

Almost surely, 2^40072303440 is an apocalyptic number.

40072303440 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 40072303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77829268608).

40072303440 is an abundant number, since it is smaller than the sum of its proper divisors (115586233776).

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

40072303440 is a wasteful number, since it uses less digits than its factorization.

40072303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 40072303440 in words is "forty billion, seventy-two million, three hundred three thousand, four hundred forty".