40070246400 has 390 divisors, whose sum is σ = 148460498912. Its totient is φ = 10683187200.

The previous prime is 40070246369. The next prime is 40070246407. The reversal of 40070246400 is 464207004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40070246407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8291985 + ... + 8296815.

Almost surely, 2^40070246400 is an apocalyptic number.

40070246400 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 40070246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74230249456).

40070246400 is an abundant number, since it is smaller than the sum of its proper divisors (108390252512).

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

40070246400 is an equidigital number, since it uses as much as digits as its factorization.

40070246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 40070246400 in words is "forty billion, seventy million, two hundred forty-six thousand, four hundred".