37721408401 has 2 divisors, whose sum is σ = 37721408402. Its totient is φ = 37721408400.

The previous prime is 37721408371. The next prime is 37721408503. The reversal of 37721408401 is 10480412773.

It is a Cunningham number, because it is equal to 194220²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37721408400 + 1 = 194220^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 37721408401 - 2¹³ = 37721400209 is a prime.

It is not a weakly prime, because it can be changed into another prime (37721438401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18860704200 + 18860704201.

It is an arithmetic number, because the mean of its divisors is an integer number (18860704201).

Almost surely, 2^37721408401 is an apocalyptic number.

It is an amenable number.

37721408401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37721408401 is an equidigital number, since it uses as much as digits as its factorization.

37721408401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 37721408401 in words is "thirty-seven billion, seven hundred twenty-one million, four hundred eight thousand, four hundred one".