40970649139200 has 4608 divisors, whose sum is σ = 182274333696000. Its totient is φ = 9029615616000.

The previous prime is 40970649139159. The next prime is 40970649139201. The reversal of 40970649139200 is 293194607904.

40970649139200 is a `hidden beast` number, since 40 + 9 + 70 + 64 + 91 + 392 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40970649139201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1107314841582 + ... + 1107314841618.

It is an arithmetic number, because the mean of its divisors is an integer number (39556062000).

Almost surely, 2^{40970649139200} is an apocalyptic number.

40970649139200 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 40970649139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91137166848000).

40970649139200 is an abundant number, since it is smaller than the sum of its proper divisors (141303684556800).

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

40970649139200 is a wasteful number, since it uses less digits than its factorization.

40970649139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40970649139200 in words is "forty trillion, nine hundred seventy billion, six hundred forty-nine million, one hundred thirty-nine thousand, two hundred".