40720053749760 has 3840 divisors, whose sum is σ = 190477093847040. Its totient is φ = 8074100736000.

The previous prime is 40720053749747. The next prime is 40720053749761. The reversal of 40720053749760 is 6794735002704.

40720053749760 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 0 + 0 + 537 + 49 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 40720053749697 and 40720053749706.

It is not an unprimeable number, because it can be changed into a prime (40720053749761) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 259363399602 + ... + 259363399758.

It is an arithmetic number, because the mean of its divisors is an integer number (49603409856).

Almost surely, 2^{40720053749760} is an apocalyptic number.

40720053749760 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 40720053749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95238546923520).

40720053749760 is an abundant number, since it is smaller than the sum of its proper divisors (149757040097280).

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

40720053749760 is a wasteful number, since it uses less digits than its factorization.

40720053749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 40720053749760 in words is "forty trillion, seven hundred twenty billion, fifty-three million, seven hundred forty-nine thousand, seven hundred sixty".