40030347006720 has 1728 divisors, whose sum is σ = 165592962662400. Its totient is φ = 8921854771200.

The previous prime is 40030347006697. The next prime is 40030347006733. The reversal of 40030347006720 is 2760074303004.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27213015585 + ... + 27213017055.

It is an arithmetic number, because the mean of its divisors is an integer number (95829260800).

Almost surely, 2^{40030347006720} is an apocalyptic number.

40030347006720 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 40030347006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82796481331200).

40030347006720 is an abundant number, since it is smaller than the sum of its proper divisors (125562615655680).

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

40030347006720 is a wasteful number, since it uses less digits than its factorization.

40030347006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 40030347006720 in words is "forty trillion, thirty billion, three hundred forty-seven million, six thousand, seven hundred twenty".