40387301349696 has 672 divisors, whose sum is σ = 137105603002368. Its totient is φ = 11127851642880.

The previous prime is 40387301349643. The next prime is 40387301349697. The reversal of 40387301349696 is 69694310378304.

40387301349696 is a `hidden beast` number, since 4 + 0 + 387 + 30 + 134 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40387301349696² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387301349697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4645952326 + ... + 4645961018.

It is an arithmetic number, because the mean of its divisors is an integer number (204026194944).

Almost surely, 2^{40387301349696} 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 40387301349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68552801501184).

40387301349696 is an abundant number, since it is smaller than the sum of its proper divisors (96718301652672).

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

40387301349696 is a wasteful number, since it uses less digits than its factorization.

40387301349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 40387301349696 in words is "forty trillion, three hundred eighty-seven billion, three hundred one million, three hundred forty-nine thousand, six hundred ninety-six".