40074368526720 has 2304 divisors, whose sum is σ = 167779946880000. Its totient is φ = 9006762885120.

The previous prime is 40074368526683. The next prime is 40074368526757. The reversal of 40074368526720 is 2762586347004.

40074368526720 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 43 + 6 + 8 + 526 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40074368526683) and next prime (40074368526757).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 354640429384 + ... + 354640429496.

It is an arithmetic number, because the mean of its divisors is an integer number (72821157500).

Almost surely, 2^{40074368526720} is an apocalyptic number.

40074368526720 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 40074368526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83889973440000).

40074368526720 is an abundant number, since it is smaller than the sum of its proper divisors (127705578353280).

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

40074368526720 is a wasteful number, since it uses less digits than its factorization.

40074368526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 40074368526720 in words is "forty trillion, seventy-four billion, three hundred sixty-eight million, five hundred twenty-six thousand, seven hundred twenty".