400726373040 has 640 divisors, whose sum is σ = 1598937661440. Its totient is φ = 90357120000.

The previous prime is 400726373029. The next prime is 400726373051. The reversal of 400726373040 is 40373627004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400726373029) and next prime (400726373051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400726372986 and 400726373004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381280515 + ... + 381281565.

It is an arithmetic number, because the mean of its divisors is an integer number (2498340096).

Almost surely, 2^400726373040 is an apocalyptic number.

400726373040 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 400726373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799468830720).

400726373040 is an abundant number, since it is smaller than the sum of its proper divisors (1198211288400).

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

400726373040 is a wasteful number, since it uses less digits than its factorization.

400726373040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 400726373040 in words is "four hundred billion, seven hundred twenty-six million, three hundred seventy-three thousand, forty".