40390971600 has 240 divisors, whose sum is σ = 154299267072. Its totient is φ = 8830778880.

The previous prime is 40390971589. The next prime is 40390971611. The reversal of 40390971600 is 617909304.

40390971600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40390971589) and next prime (40390971611).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88669 + ... + 297731.

Almost surely, 2^40390971600 is an apocalyptic number.

40390971600 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 40390971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77149633536).

40390971600 is an abundant number, since it is smaller than the sum of its proper divisors (113908295472).

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

40390971600 is a wasteful number, since it uses less digits than its factorization.

40390971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209114 (or 209103 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 40390971600 in words is "forty billion, three hundred ninety million, nine hundred seventy-one thousand, six hundred".